# Money supply

China M2 money supply vs USA M2 money supply

The money supply (or money stock) is the total value of money available in an economy at a point of time. There are several ways to define "money", but standard measures usually include currency in circulation and demand deposits (depositors' easily accessed assets on the books of financial institutions).[1][2] The central bank of each country may use a definition of what constitutes money for its purposes.

Money supply data is recorded and published, usually by the government or the central bank of the country. Public and private sector analysts monitor changes in the money supply because of the belief that such changes affect the price level of securities, inflation, the exchange rates and the business cycle.[3]

The relationship between money and prices has historically been associated with the quantity theory of money. There is strong empirical evidence of a direct relationship between the growth of the money supply and long-term price inflation, at least for rapid increases in the amount of money in the economy. For example, a country such as Zimbabwe which saw extremely rapid increases in its money supply also saw extremely rapid increases in prices (hyperinflation). This is one reason for the reliance on monetary policy as a means of controlling inflation.[4][5]

The nature of this causal chain is the subject of some debate. Some heterodox economists argue that the money supply is endogenous (determined by the workings of the economy, not by the central bank) and that the sources of inflation must be found in the distributional structure of the economy.[6]

In addition, those economists seeing the central bank's control over the money supply as feeble say that there are two weak links between the growth of the money supply and the inflation rate. First, in the aftermath of a recession, when many resources are underutilized, an increase in the money supply can cause a sustained increase in real production instead of inflation. Second, if the velocity of money (i.e., the ratio between nominal GDP and money supply) changes, an increase in the money supply could have either no effect, an exaggerated effect, or an unpredictable effect on the growth of nominal GDP.

## Money creation by commercial banks

Commercial banks play a role in the process of money creation, especially under the fractional-reserve banking system used throughout the world. In this system, money is created whenever a bank gives out a new loan. This is because the loan, when drawn on and spent, mostly finishes up as a deposit in the banking system, which is counted as part of money supply. After putting aside a part of these deposits as mandated bank reserves, the balance is available for the making of further loans by the bank. This process continues multiple times, and is called the multiplier effect.

This new money makes up the non-M0 components in the M1-M3 statistics. In short, there are two types of money in a fractional-reserve banking system:[7][8][9]

• central bank money — obligations of a central bank, including currency and central bank depository accounts
• commercial bank money — obligations of commercial banks, including checking accounts and savings accounts.

In the money supply statistics, central bank money is MB while the commercial bank money is divided up into the M1-M3 components. Generally, the types of commercial bank money that tend to be valued at lower amounts are classified in the narrow category of M1 while the types of commercial bank money that tend to exist in larger amounts are categorized in M2 and M3, with M3 having the largest.

In the United States, a bank's reserves consist of U.S. currency held by the bank (also known as "vault cash"[10]) plus the bank's balances in Federal Reserve accounts.[11][12] For this purpose, cash on hand and balances in Federal Reserve ("Fed") accounts are interchangeable (both are obligations of the Fed). Reserves may come from any source, including the federal funds market, deposits by the public, and borrowing from the Fed itself.[13]

A reserve requirement is a ratio a bank must maintain between deposit liabilities and reserves.[14] Reserve requirements do not apply to the amount of money a bank may lend out. The ratio that applies to bank lending is its capital requirement.[15]

## Open market operations by central banks

Central banks can influence the money supply by open market operations. They can increase the money supply by purchasing government securities, such as government bonds or treasury bills. This increases the liquidity in the banking system by converting the illiquid securities of commercial banks into liquid deposits at the central bank. This also causes the price of such securities to rise due to the increased demand, and interest rates to fall. These funds become available to commercial banks for lending, and by the multiplier effect from fractional-reserve banking, loans and bank deposits go up by many times the initial injection of funds into the banking system.

In contrast, when the central bank "tightens" the money supply, it sells securities on the open market, drawing liquid funds out of the banking system. The prices of such securities fall as supply is increased, and interest rates rise. This also has a multiplier effect.

This kind of activity reduces or increases the supply of short term government debt in the hands of banks and the non-bank public, also lowering or raising interest rates. In parallel, it increases or reduces the supply of loanable funds (money) and thereby the ability of private banks to issue new money through issuing debt.

The simple connection between monetary policy and monetary aggregates such as M1 and M2 changed in the 1970s as the reserve requirements on deposits started to fall with the emergence of money funds, which require no reserves. At present, reserve requirements apply only to "transactions deposits" – essentially checking accounts. The vast majority of funding sources used by private banks to create loans are not limited by bank reserves. Most commercial and industrial loans are financed by issuing large denomination CDs. Money market deposits are largely used to lend to corporations who issue commercial paper. Consumer loans are also made using savings deposits, which are not subject to reserve requirements. This means that instead of the value of loans supplied responding passively to monetary policy, we often see it rising and falling with the demand for funds and the willingness of banks to lend.

Some economists argue that the money multiplier is a meaningless concept, because its relevance would require that the money supply be exogenous, i.e. determined by the monetary authorities via open market operations. If central banks usually target the shortest-term interest rate (as their policy instrument) then this leads to the money supply being endogenous.[16]

Neither commercial nor consumer loans are any longer limited by bank reserves. Nor are they directly linked proportional to reserves. Between 1995 and 2008, the value of consumer loans has steadily increased out of proportion to bank reserves. Then, as part of the financial crisis, bank reserves rose dramatically as new loans shrank.

In recent years, some academic economists renowned for their work on the implications of rational expectations have argued that open market operations are irrelevant. These include Robert Lucas, Jr., Thomas Sargent, Neil Wallace, Finn E. Kydland, Edward C. Prescott, T. Slimani and Scott Freeman. Keynesian economists point to the ineffectiveness of open market operations in 2008 in the United States, when short-term interest rates went as low as they could go in nominal terms, so that no more monetary stimulus could occur. This zero bound problem has been called the liquidity trap or "pushing on a string" (the pusher being the central bank and the string being the real economy).

## Empirical measures in the United States Federal Reserve System

CPI-Urban (blue) vs M2 money supply (red); recessions in gray
See also European Central Bank for other approaches and a more global perspective.

Money is used as a medium of exchange, a unit of account, and as a ready store of value. Its different functions are associated with different empirical measures of the money supply. There is no single "correct" measure of the money supply. Instead, there are several measures, classified along a spectrum or continuum between narrow and broad monetary aggregates. Narrow measures include only the most liquid assets, the ones most easily used to spend (currency, checkable deposits). Broader measures add less liquid types of assets (certificates of deposit, etc.).

This continuum corresponds to the way that different types of money are more or less controlled by monetary policy. Narrow measures include those more directly affected and controlled by monetary policy, whereas broader measures are less closely related to monetary-policy actions.[5] It is a matter of perennial debate as to whether narrower or broader versions of the money supply have a more predictable link to nominal GDP.

The different types of money are typically classified as "M"s. The "M"s usually range from M0 (narrowest) to M3 (broadest) but which "M"s are actually focused on in policy formulation depends on the country's central bank. The typical layout for each of the "M"s is as follows:

Type of money M0 MB M1 M2 M3 MZM
Notes and coins in circulation (outside Federal Reserve Banks and the vaults of depository institutions) (currency) [17]
Notes and coins in bank vaults (vault cash)
Federal Reserve Bank credit (required reserves and excess reserves not physically present in banks)
Traveler's checks of non-bank issuers
Demand deposits
Other checkable deposits (OCDs), which consist primarily of negotiable order of withdrawal (NOW) accounts at depository institutions and credit union share draft accounts. [18]
Savings deposits

### United Kingdom

M4 money supply of the United Kingdom 1984–2007. In thousand millions (billions) of pounds sterling.

There are just two official UK measures. M0 is referred to as the "wide monetary base" or "narrow money" and M4 is referred to as "broad money" or simply "the money supply".

• M0: Notes and coin in circulation plus banks' reserve balance with Bank of England. (When the bank introduced Money Market Reform in May 2006, the bank ceased publication of M0 and instead began publishing series for reserve balances at the Bank of England to accompany notes and coin in circulation.[35])
• M4: Cash outside banks (i.e. in circulation with the public and non-bank firms) plus private-sector retail bank and building society deposits plus private-sector wholesale bank and building society deposits and certificates of deposit.[36] In 2010 the total money supply (M4) measure in the UK was £2.2 trillion while the actual notes and coins in circulation totalled only £47 billion, 2.1% of the actual money supply.[37]

There are several different definitions of money supply to reflect the differing stores of money. Owing to the nature of bank deposits, especially time-restricted savings account deposits, M4 represents the most illiquid measure of money. M0, by contrast, is the most liquid measure of the money supply.

### Eurozone

The euro money supply from 1998–2007.

The European Central Bank's definition of euro area monetary aggregates:[38]

• M1: Currency in circulation plus overnight deposits
• M2: M1 plus deposits with an agreed maturity up to two years plus deposits redeemable at a period of notice up to three months.
• M3: M2 plus repurchase agreements plus money market fund (MMF) shares/units, plus debt securities up to two years

### Australia

The money supply of Australia 1984–2016

The Reserve Bank of Australia defines the monetary aggregates as:[39]

• M1: currency in circulation plus bank current deposits from the private non-bank sector
• M3: M1 plus all other bank deposits from the private non-bank sector, plus bank certificate of deposits, less inter-bank deposits
• Broad money: M3 plus borrowings from the private sector by NBFIs, less the latter's holdings of currency and bank deposits
• Money base: holdings of notes and coins by the private sector plus deposits of banks with the Reserve Bank of Australia (RBA) and other RBA liabilities to the private non-bank sector.

### New Zealand

New Zealand money supply 1988–2008

The Reserve Bank of New Zealand defines the monetary aggregates as:[40]

• M1: notes and coins held by the public plus chequeable deposits, minus inter-institutional chequeable deposits, and minus central government deposits
• M2: M1 + all non-M1 call funding (call funding includes overnight money and funding on terms that can of right be broken without break penalties) minus inter-institutional non-M1 call funding
• M3: the broadest monetary aggregate. It represents all New Zealand dollar funding of M3 institutions and any Reserve Bank repos with non-M3 institutions. M3 consists of notes & coin held by the public plus NZ dollar funding minus inter-M3 institutional claims and minus central government deposits

### India

Components of the money supply of India in billions of Rupee for 1950–2011

The Reserve Bank of India defines the monetary aggregates as:[41]

• Reserve money (M0): Currency in circulation, plus bankers' deposits with the RBI and 'other' deposits with the RBI. Calculated from net RBI credit to the government plus RBI credit to the commercial sector, plus RBI's claims on banks and net foreign assets plus the government's currency liabilities to the public, less the RBI's net non-monetary liabilities. M0 outstanding was 14.75 trillion in August 2017.
• M1: Currency with the public plus deposit money of the public (demand deposits with the banking system and 'other' deposits with the RBI). M1 was 184 per cent of M0 in August 2017.
• M2: M1 plus savings deposits with post office savings banks. M2 was 879 per cent of M0 in August 2017.
• M3 (the broad concept of money supply): M1 plus time deposits with the banking system, made up of net bank credit to the government plus bank credit to the commercial sector, plus the net foreign exchange assets of the banking sector and the government's currency liabilities to the public, less the net non-monetary liabilities of the banking sector (other than time deposits). M3 was 880 per cent of M0 in August 2017.
• M4: M3 plus all deposits with post office savings banks (excluding National Savings Certificates).

### Hong Kong

HKD vs USD over the year

In 1967, when sterling was devalued, the dollar's peg to the pound was increased from 1 shilling 3 pence to 1 shilling 4½ pence (14.5455 dollars = 1 pound) although this did not entirely offset the devaluation. In 1972 the Hong Kong dollar was pegged to the U.S. dollar at a rate of 5.65 H.K. dollar = 1 U.S. dollar. This was revised to 5.085 H.K. dollar = 1 U.S. dollar in 1973. Between 1974 and 1983 the Hong Kong dollar floated. On 17 October 1983 the currency was pegged at a rate of 7.8 H.K. dollar = 1 U.S. dollar, through the currency board system.

As of 18 May 2005, in addition to the lower guaranteed limit, a new upper guaranteed limit was set for the Hong Kong dollar at 7.75 to the American dollar. The lower limit was lowered from 7.80 to 7.85 (by 100 pips per week from 23 May to 20 June 2005). The Hong Kong Monetary Authority indicated that this move was to narrow the gap between the interest rates in Hong Kong and those of the United States. A further aim of allowing the Hong Kong dollar to trade in a range is to avoid the HK dollar being used as a proxy for speculative bets on a renminbi revaluation.

The Hong Kong Basic Law and the Sino-British Joint Declaration provides that Hong Kong retains full autonomy with respect to currency issuance. Currency in Hong Kong is issued by the government and three local banks under the supervision of the territory's de facto central bank, the Hong Kong Monetary Authority. Bank notes are printed by Hong Kong Note Printing.

A bank can issue a Hong Kong dollar only if it has the equivalent exchange in US dollars on deposit. The currency board system ensures that Hong Kong's entire monetary base is backed with US dollars at the linked exchange rate. The resources for the backing are kept in Hong Kong's exchange fund, which is among the largest official reserves in the world. Hong Kong also has huge deposits of US dollars, with official foreign currency reserves of 331.3 billion USD as of September 2014.[42]

### Japan

Japanese money supply (April 1998 – April 2008)

The Bank of Japan defines the monetary aggregates as:[43]

• M1: cash currency in circulation, plus deposit money
• M2 + CDs: M1 plus quasi-money, plus CDs[clarification needed]
• M3 + CDs: M2 and CDs, plus deposits of post offices plus other savings and deposits with financial institutions, plus money trusts
• Broadly defined liquidity: M3 and CDs, plus money market, pecuniary trusts other than money trusts, investment trusts, bank debentures +, commercial paper issued by financial institutions, repurchase agreements and securities lending with cash collateral, government bonds and foreign bonds

### Monetary exchange equation

The money supply is important because it is linked to inflation by the equation of exchange in an equation proposed by Irving Fisher in 1911:[44]

${\displaystyle M\times V=P\times Q}$

where

• ${\displaystyle M}$  is the total dollars in the nation's money supply,
• ${\displaystyle V}$  is the number of times per year each dollar is spent (velocity of money),
• ${\displaystyle P}$  is the average price of all the goods and services sold during the year,
• ${\displaystyle Q}$  is the quantity of assets, goods and services sold during the year.

In mathematical terms, this equation is an identity which is true by definition rather than describing economic behavior. That is, velocity is defined by the values of the other three variables. Unlike the other terms, the velocity of money has no independent measure and can only be estimated by dividing PQ by M. Some adherents of the quantity theory of money assume that the velocity of money is stable and predictable, being determined mostly by financial institutions. If that assumption is valid then changes in M can be used to predict changes in PQ. If not, then a model of V is required in order for the equation of exchange to be useful as a macroeconomics model or as a predictor of prices.

Most macroeconomists replace the equation of exchange with equations for the demand for money which describe more regular and predictable economic behavior. However, predictability (or the lack thereof) of the velocity of money is equivalent to predictability (or the lack thereof) of the demand for money (since in equilibrium real money demand is simply Q/V). Either way, this unpredictability made policy-makers at the Federal Reserve rely less on the money supply in steering the U.S. economy. Instead, the policy focus has shifted to interest rates such as the fed funds rate.

In practice, macroeconomists almost always use real GDP to define Q, omitting the role of all transactions except for those involving newly produced goods and services (i.e., consumption goods, investment goods, government-purchased goods, and exports). But the original quantity theory of money did not follow this practice: PQ was the monetary value of all new transactions, whether of real goods and services or of paper assets.

U.S. M3 money supply as a proportion of gross domestic product.

The monetary value of assets, goods, and services sold during the year could be grossly estimated using nominal GDP back in the 1960s. This is not the case anymore because of the dramatic rise of the number of financial transactions relative to that of real transactions up until 2008. That is, the total value of transactions (including purchases of paper assets) rose relative to nominal GDP (which excludes those purchases).

Ignoring the effects of monetary growth on real purchases and velocity, this suggests that the growth of the money supply may cause different kinds of inflation at different times. For example, rises in the U.S. money supplies between the 1970s and the present encouraged first a rise in the inflation rate for newly-produced goods and services ("inflation" as usually defined) in the 1970s and then asset-price inflation in later decades: it may have encouraged a stock market boom in the 1980s and 1990s and then, after 2001, a rise in home prices, i.e., the famous housing bubble. This story, of course, assumes that the amounts of money were the causes of these different types of inflation rather than being endogenous results of the economy's dynamics.

When home prices went down, the Federal Reserve kept its loose monetary policy and lowered interest rates; the attempt to slow price declines in one asset class, e.g. real estate, may well have caused prices in other asset classes to rise, e.g. commodities.[citation needed]

### Rates of growth

In terms of percentage changes (to a close approximation, under low growth rates)[45], the percentage change in a product, say XY, is equal to the sum of the percentage changes X + %ΔY). So, denoting all percentage changes as per unit of time,

P + %ΔQ = %ΔM + %ΔV

This equation rearranged gives the basic inflation identity:

P = %ΔM + %ΔV – %ΔQ

Inflation (%ΔP) is equal to the rate of money growth (%ΔM), plus the change in velocity (%ΔV), minus the rate of output growth (%ΔQ).[46] So if in the long run the growth rate of velocity and the growth rate of real GDP are exogenous constants (the former being dictated by changes in payment institutions and the latter dictated by the growth in the economy’s productive capacity), then the monetary growth rate and the inflation rate differ from each other by a fixed constant.

As before, this equation is only useful if %ΔV follows regular behavior. It also loses usefulness if the central bank lacks control over %ΔM.

## Arguments

Historically, in Europe, the main function of the central bank is to maintain low inflation. In the USA the focus is on both inflation and unemployment.[citation needed] These goals are sometimes in conflict (according to Phillips curve). A central bank may attempt to do this by artificially influencing the demand for goods by increasing or decreasing the nation's money supply (relative to trend), which lowers or raises interest rates, which stimulates or restrains spending on goods and services.

An important debate among economists in the second half of the twentieth century concerned the central bank's ability to predict how much money should be in circulation, given current employment rates and inflation rates. Economists such as Milton Friedman believed that the central bank would always get it wrong, leading to wider swings in the economy than if it were just left alone.[47] This is why they advocated a non-interventionist approach—one of targeting a pre-specified path for the money supply independent of current economic conditions—even though in practice this might involve regular intervention with open market operations (or other monetary-policy tools) to keep the money supply on target.

The former Chairman of the U.S. Federal Reserve, Ben Bernanke, suggested in 2004 that over the preceding 10 to 15 years, many modern central banks became relatively adept at manipulation of the money supply, leading to a smoother business cycle, with recessions tending to be smaller and less frequent than in earlier decades, a phenomenon termed "The Great Moderation"[48] This theory encountered criticism during the global financial crisis of 2008–2009.[citation needed] Furthermore, it may be that the functions of the central bank may need to encompass more than the shifting up or down of interest rates or bank reserves:[citation needed] these tools, although valuable, may not in fact moderate the volatility of money supply (or its velocity).[citation needed]

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